Position-dependent effective mass Dirac equations with PT-symmetric and non-PT-symmetric potentials
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
22/09/2006
|
Resumo |
We present a new procedure to construct the one-dimensional non-Hermitian imaginary potential with a real energy spectrum in the context of the position-dependent effective mass Dirac equation with the vector-coupling scheme in 1 + 1 dimensions. In the first example, we consider a case for which the mass distribution combines linear and inversely linear forms, the Dirac problem with a PT-symmetric potential is mapped into the exactly solvable Schrodinger-like equation problem with the isotonic oscillator by using the local scaling of the wavefunction. In the second example, we take a mass distribution with smooth step shape, the Dirac problem with a non-PT-symmetric imaginary potential is mapped into the exactly solvable Schrodinger-like equation problem with the Rosen-Morse potential. The real relativistic energy levels and corresponding wavefunctions for the bound states are obtained in terms of the supersymmetric quantum mechanics approach and the function analysis method. |
Formato |
11877-11887 |
Identificador |
http://dx.doi.org/10.1088/0305-4470/39/38/013 Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 39, n. 38, p. 11877-11887, 2006. 0305-4470 http://hdl.handle.net/11449/9080 10.1088/0305-4470/39/38/013 WOS:000241555600014 |
Idioma(s) |
eng |
Publicador |
Iop Publishing Ltd |
Relação |
Journal of Physics A: Mathematical and General |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |